Question

Using the graphing tool, determine the function for the graph that passes through the points (2.1,2.4), (4.3,6.8), and (6.1,1.9).

f(x) =
x2 +
x −

Answer 1

f(x) = -1.18056x² +9.55556x -12.4604

Explanation:

As required by the problem statement, technology was used to find the polynomial function that passes through the given points. The coefficients shown above are rounded to 6 significant figures. The exact coefficients appear to be ...

f(x) = (-1 13/72)x² +(9 5/9)x -(12 221/480)

Answer 2

The required equation is
`f(x)=-1.1806x^2+9.5556x-12.46`

Explanation:

Given : The function for the graph that passes through the points (2.1,2.4), (4.3,6.8), and (6.1,1.9).

To find : Determine the function?

Solution :

First we plot the points with the help of graphing tool.

When we add trend-line in the points it will given you the equation of best fit of the points.

Using Regression calculator,

The equation is given as
`y=-1.1806x^2+9.5556x-12.46`

and correlation coefficient is
`R^2=1` showing the best fit line.

Refer the attached figure below.

The required equation is
`f(x)=-1.1806x^2+9.5556x-12.46`